Atkin-Lehner |
2- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
43610q |
Isogeny class |
Conductor |
43610 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-456629887210 = -1 · 2 · 5 · 78 · 892 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 5 1 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,979,-29891] |
[a1,a2,a3,a4,a6] |
Generators |
[69882:1229641:216] |
Generators of the group modulo torsion |
j |
17999471/79210 |
j-invariant |
L |
13.026870422075 |
L(r)(E,1)/r! |
Ω |
0.47362781450915 |
Real period |
R |
4.584074253737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43610bb1 |
Quadratic twists by: -7 |